A triangle has side lengths of 10
centimeters, 2
centimeters, and c
centimeters.
Enter a value to complete the inequality that describes the possible values for c
, the length of the third side of the triangle.
The triangle inequality states that the sum of the two shorter sides of a triangle must be greater than the length of the third side.
In this case, the two shorter sides are 2 centimeters and 10 centimeters. So, the inequality can be formed as:
2 + 10 > c
Simplifying, we get:
12 > c
Therefore, the possible values for c are any value less than 12.